Question

Repeat Theoretical Exercise 4.32, this time assuming that withdrawn chips are not replaced before the next selection.

Short answer

Probability mass function does not exist

Step-by-step solution

Given information

Jar contains $n$chips

Withdrawn chips are not replaced before the next selection

$X$= number of draws until previously drawn chip is drawn again

Explanation

When the chips are not replaced before the next selection, then it is not possible to draw a previously drawn chip again.

This then implies that $X$is not a random variable, because all integer values for $X$cannot be an outcome for $X$and thus the value of $X$is not random.

Final answer

Since $X$ is not a random variable, the probability mass function of $X$ does not exist.